A fund manager in Oyak Yatirim achieved the following percentage rates of return over the past 5-years. (For comparison, market index rates are presented in the table) Fund Market index 1 2 3 4 5 -1.2 +23.4 +41.3 +10.3 +0.3 -0.8 +15.0 +30.8 +11.6 -0.6 a. What is the average return for the manager's fund and the market index, and what is the standard deviation of the returns for each? (Intermediate calculations should not be rounded. Round your answers to 2 decimal places.) b. Considering the returns only, did the fund manager perform better or worse than the market index over the past 5 years? OYAK Yatirim Return Market Portfolio Return Average return a. Standard deviation b. Does the fund manager perform better or worse than the market index